10470677144400 has 960 divisors, whose sum is σ = 41205662668800. Its totient is φ = 2504189952000.

The previous prime is 10470677144377. The next prime is 10470677144429. The reversal of 10470677144400 is 444177607401.

10470677144400 is a `hidden beast` number, since 1 + 0 + 47 + 0 + 67 + 7 + 144 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4136971135 + ... + 4136973665.

It is an arithmetic number, because the mean of its divisors is an integer number (42922565280).

Almost surely, 2^{10470677144400} is an apocalyptic number.

10470677144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10470677144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20602831334400).

10470677144400 is an abundant number, since it is smaller than the sum of its proper divisors (30734985524400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10470677144400 is a wasteful number, since it uses less digits than its factorization.

10470677144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 10470677144400 in words is "ten trillion, four hundred seventy billion, six hundred seventy-seven million, one hundred forty-four thousand, four hundred".